Fine-Tuning Problem in a Left-Right Symmetric Model and Sogami's Generalized Covariant Derivative Method | Zendy

Eizou Umezawa | Zendy

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Fine-Tuning Problem in a Left-Right Symmetric Model and Sogami's Generalized Covariant Derivative Method

Author(s) -

Eizou Umezawa

Publication year - 1997

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.98.187

Subject(s) - physics , higgs boson , covariant derivative , yukawa potential , boson , phenomenology (philosophy) , particle physics , covariant transformation , neutrino , gauge boson , mathematical physics , gauge theory , philosophy , epistemology

We study Sogami's generalized covariant derivative method for a $SU(2)_{L}\times SU(2)_{R} \times U(1)_{B-L} \times SU(3)_{c}$ model that containsbi-doublet and triplet Higgs bosons. In particular, a detailed study is made onthe minimization conditions of the Higgs potential. It is known that aminimization condition and certain phenomenology for a extra gauge boson massderive a restriction on potential parameters, which requires fine-tuning. Weshow that the restriction can be reduced to a condition of Yukawa couplingconstants giving a heavy mass of the right-handed tau neutrino in our model. Wealso discuss the consistency among parameter restrictions of our model bytaking phenomenology of the Higgs boson masses into account.Comment: 26pages, Latex fil

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